What phone do you have? It's not the exact solution you want, but with my old Samsung Note, I used this bluetooth adapter (with an additional 3.5mm extention attachment), and had it pretty much permanently plugged into both the AUX port and USB. Then I mounted this bluetooth controller next to my shifter.

With the Iphone X, it's as simple as plugging the lightning cable into the usb port and letting your car recognize it as an ipod